Look at the screenshot

Answer:

y = 2x+3

Step-by-step explanation:

You can see that the line crosses the y-axis at (0,3), so the y-intercept is 3.

To find the slope, compare the coordinates of the two points marked on the line,  (0,3) and (-3,-3).

slope = Δy/Δx = ((-3)-3)/((-3)-0) = (-6)/(-3) = 2

Slope-intercept equation for line of slope 2 and y-intercept 3:

y = 2x+3

Answer:

Step-by-step explanation:

if the triangles are similar then their sides are in proportion ( or you can think that they make equivalent fractions like 2/3 = 4/6 )

44/ (x+2) = 20/7 = 3x+1 /5 ( all of those are equivalent  fractions)

use that  [tex]\frac{a}{b} =\frac{c}{d}[/tex]  is the same as a*d = b*c

[tex]\frac{44}{x+2} =\frac{20}{7}[/tex]  is the same as 20(x+2) = 7*44

20x +40 = 308; subtract 40 from both sides

20x = 268; divide by 20 both sides

x= 13.4

Answer:

the one you have clicked is correct :)

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

35=70%*x

35=70/100*x

35=7/10*x

350=7*x

x=50

Answer:

8:3

Step-by-step explanation:

The GCF of each of them is 8. Divide both of them by it you'll get the ratio

in equivalence the answer is 8 3

9514 1404 393

Answer:

  1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42,

  55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, 2310

Step-by-step explanation:

The trailing digit is 0, and the sum of digits is 6, so we know the number is divisible by 2, 3, 5. Dividing out those factors, we get a quotient of 77, which is 7×11. This means the prime factorization is ...

  2×3×5×7×11 = 2310

There are 5 prime factors, each with an exponent of 1, so the total number of divisors is 2^5 = 32. We will have found them all when all 32 are listed.

  1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42,

  55, 66, 70, 77, 105, 110, 154, 165, 210, 231, 330, 385, 462, 770, 1155, 2310

Of course, the pairwise products working toward the center from the ends of the list are all 2310.

Answer:

volume of the solid generated when region R is revolved about the x-axis is π ₀∫^a ( [tex]\frac{-b}{a}[/tex]x + b )² dx

Step-by-step explanation:

Given the data in the question and as illustrated in the image below;

R is in the region first quadrant with vertices; 0(0,0), A(a,0) and B(0,b)

from the image;

the equation of AB will be;

y-b / b-0 = x-0 / 0-a

(y-b)(0-a) = (b-0)(x-0)

0 - ay -0 + ba = bx - 0 - 0 + 0

-ay + ba = bx  

ay = -bx + ba

divide through by a

y = [tex]\frac{-b}{a}[/tex]x + ba/a

y = [tex]\frac{-b}{a}[/tex]x + b

so R is bounded by  y = [tex]\frac{-b}{a}[/tex]x + b and y =0, 0 ≤ x ≤ a

The volume of the solid revolving R about x axis is;

dv = Area × thickness

= π( Radius)² dx

= π ( [tex]\frac{-b}{a}[/tex]x + b )² dx

V = π ₀∫^a ( [tex]\frac{-b}{a}[/tex]x + b )² dx

Therefore,  volume of the solid generated when region R is revolved about the x-axis is π ₀∫^a ( [tex]\frac{-b}{a}[/tex]x + b )² dx

The volume of the solid generated when region R is revolved about the x-axis is [tex]\frac{b^{5} }{3a^{2} }[/tex].

Equation of the line AB

[tex]y-0 = \frac{b-0}{0-a} (x-a)[/tex]

[tex]y = \frac{-b}{a} (x-a)[/tex]

The volume generated when a curve f(x) is rotated about the x-axis in x∈(c,d) is given by:

[tex]V=\int\limits^d_c {y^2} \, dx[/tex]

So, the volume generated when line AB is rotated about the x-axis will be [tex]V=\int\limits^b_0 ({\frac{-b}{a} (x-a))^2} \, dx[/tex]

[tex]V=\frac{b^{5} }{3a^{2} }[/tex]

Therefore, the volume of the solid generated when region R is revolved about the x-axis is [tex]\frac{b^{5} }{3a^{2} }[/tex].

To get more about volume generation visit:

https://brainly.com/question/20784784

Answer:

what do you mean?

Step-by-step explanation:

Answer:

the answer would be 6...

9514 1404 393

Answer:

Step-by-step explanation:

It can be helpful to actually see the graph. For 0 ≤ θ ≤ π, a circle is developed above the x-axis, symmetrical about the y-axis (θ=π/2). For π ≤ θ ≤ 2π, the same circle is traced again in the same direction (CCW), as values of r are negative for those angles.

The circle has a radius of 2.5, centered at (0, 2.5), so the diameter is 5 units. The length of the diameter is the farthest distance between any two points on a circle.

Answer:

LOOK AT THE SCREENSHOTS FIRST !!!

Step-by-step explanation:

the ones after the three screenshots are c, c, a, (1, 3, 5), (4, 5), circular, positive vertical axis, 6.4, and (1, 5)

edge 2022 - good luck :)

Answer: She invested $5000 in an account that pays 6% interest and $10000 in an account that pays 7% interest.

Step-by-step explanation:

Let P be the initial amount she invested in an account that pays 6% interest.

Then, amount invested in other account = 2P

Simple interest = Principal x rate x time

After one year, for the first account,

Interest = P(0.06)(1)  = 0.06P

For second account,

Interest = (2P)(0.07)(1)=0.14P

Total interest = [tex]0.06P+0.14P=1000[/tex]

[tex]\Rightarrow\ 0.20P=1000\\\\\Rightarrow\ P=\dfrac{1000}{0.20}\\\\\Rightarrow\ P=5000[/tex]

2P = 2(5000)=10000

Hence, She invested $5000 in an account that pays 6% interest and $10000 in an account that pays 7% interest.

At the interest rate of 6%, amount invested is; $5000

At interest rate of 7%, amount invested is; $10000

Let P be the initial amount that Ms. Hagan invested in the 6% interest account that

Since she invested twice as much in the 7% interest account as in the 6% interest account, then;

Initial amount invested in the 7% interest account = 2P

Formula for Simple interest is;

I = Principal × rate × time

Interest after 1 year for the 6% interest account is,

I_1 = P × 0.06 × 1

I_1 = 0.06P

Interest after 1 year for the 7% interest account is,

I_2 = 2P × 0.07 × 1

I_2 = 0.14P

Total investment pays her $1000 after a year. Thus;

0.06P + 0.14P = 1000

0.2P = 1000

P = 1000/0.2

P = $5000

Then amount initially invested in the 7% interest account = 2P = $10000

Read more about simple interest at; https://brainly.com/question/1873210 at;

The amount of interest that's owed by Darius after 6 months will be $14

Principal = $500

Rate = 5.6%

Time = 6 months.

Based on the information given, the simple interest will be calculated as:

Simple Interest = PRT/100

Simple Interest = ($500 × 5.6 × 1/2) / 100

Simple Interest = $1400/100

Simple Interest = $14

Therefore, the amount of interest that's owed by Darius after 6 months will be $14

Read related link on:

https://brainly.com/question/20892321

Answer:

19.5 miles

Step-by-step explanation:

6.5 mph means that each hour, he runs 6.5 miles.

So you already know how much he runs per hour.

6.5 mph x 3 h = 19.5mi

Answer:

2 1/5

Step-by-step explanation:

Answer:

the number of 1/2 m rope which can be cut from 10 m long rope = 10 / (1/2) = 20 pieces of 1/2 m rope

Answer: He can cut 5 meters of rope.

Step-by-step explanation:

Answer:its easy

Step-by-step just do 2 rows of 5

First, let's write what we know.

We can represent the number of students in the play from each class as L, G, and C. We know that L = 7, and if Gardener has 4 more students than Cho, then G = C + 4.

Then, taking the third line, we can write an inequality:

C < L < G

C < 7 < C + 4

C - 4 < 3 < C

3 < C < 7

If C is greater than 3 and less than 7 and is an integer, than means C is 4, 5, or 6.

Then, we need to find how many students are in the play.

C + L + G

C + 7 + C + 4

2C + 11

So we have our expression for the number of students in the play. Then, we need to find the total number of students. We know that 2C + 11 will be 30% of the total, so if T is the total, we can find T.

0.3T = 2C + 11

(Divide by 3/10 or multiply by 10/3 on both sides)

T = 20/3 C + 110/3

We know from before that C is 4, 5 or 6. We can plug these into our equation here to find which one produces a whole number.

T = 20/3 * 4 + 110/3

T = 190/3

T = 20/3 * 5 + 110/3

T = 210/3

T = 70

T = 20/3 * 6 + 110/3

T = 230/3

We can see here that only when C is 5 will the total be a whole number. That means Mrs. Cho has 5 students in the play. If Mrs. Gardner has 4 more than that, she has 9 students in the play in her class.  We now need to figure out the number of student in her class.

The total students are Cho's, Logan's, and Gardner's classes added together. We know that Logan's class is 23 students, so if we subtract that from the total, we can see that Cho's and Gardner's class have 47 students. If Mrs. Cho has 24 students in her class, we can subtract that from the 47, so we know that Mrs. Gardner has 23 students in her class.

Answer:

A. -⅗ is located on the right of -2.

Step-by-step explanation:

-⅗ > -2 means -⅗ is greater than -2. This implies that, on a numberline, -⅗ is closer to 0 than -2.

-¾ and -2 are both located left of 0.

However, -⅗ which is closer to 0 than -2, would be located on the right of -2.

Answer:

Step-by-step explanation:

Definition of constants: Contants are numbers that have no variables.

To find the constants of the expression 7r - 3 + 2s + 5, simply look for numbers without variables. We can see that the constants are -3 and 5, which matches Option B.

Hence, Option B is correct.

Answer:

101u3 1355

Step-by-step explanation:

I had just taken the quiz

Answer: 2/15

Believe me I put the same thing and I got it correct.

x=12,y=12√3

sin60=y/24

√3/2×24=y

y=12√3

again

24^2=x^2+y^2

576=x²+12×12×3

x²=576-432

x=√144

x=12

Answer:

this is too easy

Step-by-step explanation:

cos

Answer:

AC

Step-by-step explanation:

The diameter of the circle is the length of a line that goes through the center and touches two points on the circle.

Therefore, AC is the correct answer because it is a straight line that goes through the center.

I hope this helped! :)

Answer:

AC is a diameter

Step-by-step explanation:

N/A

Answer:

-10

Step-by-step explanation:

Answer:

= -10

Step-by-step explanation:

-7 + (-3)

=

-7 - 3

-10

Answer:

Let x be your first alloy

2/5x+7/10(30-x)=1/2(30)

4x+210-7x=150

3x=60

x=20

So, you need 20 lbs of the first alloy, and 10 parts of the second to make 30 lbs of half iron and half silver alloy

Answer:

20 pounds for first 10 for second.

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

MN is exactly half of 6x + 2 (midpoint theorem)

2(2x + 4) = 6x + 2

4x + 8 = 6x + 2

-2x + 8 = 2

-2x = -6

x = 3